THE NONEQUIVALENCE AND DIMENSION FORMULA FOR ATTRACTORS OF LORENZ-TYPE SYSTEMS-Reference-Cited by-同舟云学术

THE NONEQUIVALENCE AND DIMENSION FORMULA FOR ATTRACTORS OF LORENZ-TYPE SYSTEMS

Published:2013-12 Issue:12 Volume:23 Page:1350200
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

CHEN YUMING¹,YANG QIGUI¹

Affiliation:

1. School of Mathematical Sciences, South China University of Technology, Guangzhou 510640, P. R. China

Abstract

In this paper, Lü system with a set of chaotic parameters is proved to be smoothly nonequivalent to Chen and Lorenz systems with any parameter. The analytical formula for the upper bound of Lyapunov dimension of attractors in Lorenz-type systems are presented under some suitable parameter conditions. These properties studied in this paper may contribute to a better understanding of the Lorenz-type systems.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127413502003

Reference27 articles.

1. ON A GENERALIZED LORENZ CANONICAL FORM OF CHAOTIC SYSTEMS

2. On the generalized Lorenz canonical form

3. YET ANOTHER CHAOTIC ATTRACTOR

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